Oh, not even close. Here's Star Charts' map of the whole galaxy: http://images4.wikia.nocookie.net/_...star_chart.jpg/1024px-Galactic_star_chart.jpg See that tiny black dot in the middle of the white circle? The one labeled "UFP"? The whole of Federation, Romulan, and Klingon space combined are just a little bit bigger than that black dot. That's not a good chunk of the galaxy. It's not even a good chunk of the Orion Arm. To use an analogy I made in another thread a couple of years back, if the Orion Arm corresponded to Florida, the Federation and all its neighbors put together would correspond to Orlando and its suburbs. And size-wise, the Orion Arm is roughly as small a percentage of the galaxy as Florida is of the United States (including Alaska and Hawaii). Or maybe even less.